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Finding the Fourth Proportional to 201,262.20, 277,742.06 and 110,618.14

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Solution

The fourth proportional to 201,262.20, 277,742.06 and 110,618.14 is: 152,653.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,262.20 : 277,742.06 = 110,618.14 : x
  2. Step 2: Convert to fraction form
    201,262.20/277,742.06 = 110,618.14/x
  3. Step 3: Cross multiply
    201,262.20x = 277,742.06 × 110,618.14
  4. Step 4: Simplify right side
    201,262.20x = 30,723,310,076.97
  5. Step 5: Solve for x
    x = 30,723,310,076.97/201,262.20
  6. Step 6: Final answer
    x = 152,653.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.